31141311314113 has 64 divisors (see below), whose sum is σ = 42961338169344. Its totient is φ = 21786988608000.

The previous prime is 31141311314093. The next prime is 31141311314149.

31141311314113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31141311314113 - 2³³ = 31132721379521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31141311318113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12438370 + ... + 14730772.

It is an arithmetic number, because the mean of its divisors is an integer number (671270908896).

Almost surely, 2^{31141311314113} is an apocalyptic number.

It is an amenable number.

31141311314113 is a deficient number, since it is larger than the sum of its proper divisors (11820026855231).

31141311314113 is a wasteful number, since it uses less digits than its factorization.

31141311314113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292806.

The product of its digits is 1296, while the sum is 28.

It can be divided in two parts, 3114131 and 1314113, that added together give a palindrome (4428244).

The spelling of 31141311314113 in words is "thirty-one trillion, one hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, one hundred thirteen".